Posted by **M.A.** on Friday, August 21, 2009 at 5:49am.

A landscaper dug holes. It takes him 1 hour to dig a hole 2 feet deep, 2 feet long and 2 feet wide. Assuming everything remains the same, how many hours would it take him to dig a hole 4 feet deep, 4 feet long and 4 feet wide?

- math..word problem -
**Reiny**, Friday, August 21, 2009 at 6:39am
the volume of the first hole is 2x2x2 or 8 cubic feet

so his rate is 9 cubic feet/hour

the second hole is 4x4x4 or 64 cubic feet.

so if he can dig 8 cubic feet in 1 hour, how many hours do you think it would take him to dig 64 cubic feet?

- math..word problem -
**M.A.**, Friday, August 21, 2009 at 6:48am
I am confused.

You said in your first statement that his rate is 9 cubic feet/hour. But you also state that he can dig 8 cubic feet in 1 hour.

I am assuming that if he can dig 8 cubic feet in 1 hour that it would take him 8 hours to dig 64 cubic feet. (64 cu. ft divided by 8 cu. ft.) Correct?

- math..word problem -
**Reiny**, Friday, August 21, 2009 at 6:52am
clearly a typo,

yes, you are right, it would take 8 hours.

- thank you -
**M.A.**, Friday, August 21, 2009 at 6:53am
Thank you Dr. Reiny.

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